HELP PLZ!!!
Which describes the difference between a bowling ball sitting in the rack waiting to be used and the bowling ball knocking pins down? A. In the rack, the bowling ball has only potential energy. As it knocks pins down, its potential energy has decreased, while its kinetic energy has increased. B. In the rack, the bowling ball has no energy at all. As it knocks down the pins the energy is 75% kinetic and 25% potential. C. In the rack and when knocking down pins, the potential energy and the kinetic energy of the bowling ball are equal. D. In the rack, the bowling ball has only kinetic energy. As it knocks pins down, its potential energy has increased, while its kinetic energy has decreased.

Answers

Answer 1
The answer would be A. In the rack, the bowling ball has only potential energy. As it knocks down pins, it’s potential energy has decreased while it’s kinetic increased.

Kinetic energy is the energy of motion and potential energy is stored energy when and object is not in motion

I hope this helped! :-)

Related Questions

In the lesson a thermos is presented as an example of an isolated energy system. How could you change the thermos into an open energy system?

Answers

If you want to change the thermos into an open energy system, you have to remove the lid. Once the lid is removed, the energy is no longer contained inside the thermos bottle. From the bottle, the energy dissipates to the environment.

Answer:

The lid of the thermos must be removed.

Explanation:

The definition of an open system is one that can exchange heat and mass with the surrounding medium. A closed thermos cannot exchange mass or temperature with the medium. By removing the lid, it has the possibility of exchanging mass and energy in the form of heat with the medium in which it is found.

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A certain force gives a 5-kg object an acceleration of 2.0 m/s2. the same force would give a 20-kg object an acceleration of

Answers

10 newton force

sorry couldn't work out the second part, think you accidently didn't finish your sentence.

hope this helps :)

Which statement describes how echolocation and ultrasound imaging are the same?

A.They both use the absorption of sound waves.
B.They both use the diffraction of sound waves.
C.They both use the reflection of sound waves.
D.They both use the transmission of sound waves.

Answers

They both use the reflection of sound waves.

Answer: The correct option is C.

Explanation:

The sound wave is reflected back after striking from the barrier. This is called the reflection of the sound.

When the sound wave incidents on the barrier then it is called incident wave.

When the sound wave gets reflected back from the barrier then it is called reflected wave.

Ultrasound imaging is a medical technique which is used to take the image of the internal parts of organ of the body.

Echolocation is the process which is used by several species. It is used by bats to locate its prey. It is the biological SONAR.

Therefore, echolocation and ultrasound imaging are same as they both use the reflection of sound waves.

The energy source used to produce most of the electrical energy in the United States is _______? Can someone help me on this?,

Answers

The energy source used to produce most of the electrical energy in the United States is Fossil fuels. Fossil fuels are generated over a long period of time by decomposition of dead flora and Fauna. Fossil fuels consists of three things- Coal, Petroleum and Natural Gas. Natural gas approx contributes 34%, Coal approx contributes 30% and Petroleum approx contributes 1% of total energy produced in US.

"which forms of light are lower in energy and frequency than the light that our eyes can see"

Answers

Electromagnetic radiation covers a wide spectrum of which we can only see an extremely small sliver (wavelength between 390 nm and 740 nm).

The electromagnetic radiation with a wavelength greater than 740 nm meets the given criterion. This mainly consists of infrared, microwave, and radio waves. 

If you want to see something really interesting, Google the wavelength of Hawking radiation! 
Final answer:

Infrared light, microwave radiation, and radio waves are all forms of light that have lower energy and frequency than what our eyes can perceive. These forms of light are part of the electromagnetic spectrum and have various applications in technology.

Explanation:

The forms of light that are lower in energy and frequency than the light that our human eyes can see are infrared light, microwave radiation, and radio waves. These forms of light make up part of the electromagnetic spectrum, which ranges from high-frequency, high-energy gamma rays to low-frequency, low-energy radio waves.

In relation to the visible light we see, these energies are less, and therefore their frequencies are also lower. To illustrate, infrared light is just below red light on the spectrum and is often associated with heat radiation. Microwave radiation is commonly used in technologies such as microwave ovens and wireless communication devices, and radio waves are the longest and hence the lowest energy/frequency waves in the spectrum, utilized in broadcasting signals such as television and radio.

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With what minimum speed must you toss a 200 g ball straight up to just touch the 15-m-high roof of the gymnasium if you release the ball 1.6 m above the ground? solve this problem using energy.

Answers

Total energy before the toss:
[tex]E_1 = \frac{1}{2} mv_1^2 + mgh_1 [/tex]

Total energy at the roof:
 [tex]E_2 = \frac{1}{2} mv_2^2 + mgh_2[/tex]

Energy must be conserved so :
[tex]E_1 = E_2 \\ \\ \frac{1}{2} mv_1^2 + mgh_1 = \frac{1}{2} mv_2^2 + mgh_2 \\ \\ \frac{1}{2} m (v_1^2 - v_2^2) = mg(h_2 - h_1) \\ \\ \frac{1}{2} (v_1^2 - v_2^2) = g(h_2 - h_1) \\ \\ v_1^2 - v_2^2 = 2g(h_2 - h_1)[/tex]

If v₁ is the initial velocity and v₂ is the final velocity, which is zero at the roof:
[tex]v_1^2 = 2g(h_2 - h_1) \\ \\ v_1 = \sqrt{2g(h_2 - h_1)} [/tex]

[tex]v_1 = \sqrt{(2)(9.81 \frac{m}{s^2} )(15m - 1.6m)} = 16,2 \frac{m}{s} [/tex]

The transfer of energy as heat caused by the collision of molecules is called _________. radiation convection conduction contact

Answers

The transfer of heat caused by the collision of molecules is called conduction

A ball is thrown upward from the ground with an initial speed speed of 25 meters/second; at the same instant, a ball is dropped from rest from a building 15 meters high. After how long will the balls be at the same height?

Answers

at the speed of 15m/s of first ball

What effect does the removal of vegetation have on soil ?

Answers

Hello!

The removal of vegetation causes the desertification and erosion of soil. The roots of the plants that are inside the soil create a sort of net that prevents the material to be dragged by the water from the rain. They also absorb any excess water that can weaken the soil structure. If vegetation is removed from the soil, the nutrients can be dragged by water currents and slowly the desertification will occur. 

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Which statement is true?Select one of the options below as your answer: A. Gas atoms subjected to electricity emit bright lines. B. Gas atoms absorb white light and emit a continuous spectrum of light. C. Gas atoms under high pressure emit dark lines against a continuous spectrum. D. Gas atoms heated to a high temperature emit white light. E. Gas atoms subjected to electricity do not emit a spectrum,

Answers

D. Gas atoms heated at high temperature emit white light. This happens when the atoms and molecules that contain a hot gas emit a certain light with wavelengths that produce a white light and bright lines. Light has a continuous spectrum that passes from one color to another without interruption.
The answer is A. Gas atoms subjected to electricity emit bright lines of light. This shows why particles behave like a way .This is the reason why we see the lightning's color. Lightning comes from the static energy and it interacts with the gas atoms.

Question 2 Saved
What might you look for as evidence that fusion occurs inside a star?

Question 2 options:

antiprotons


protons


electrons


neutinos

Answers

protons and/or neutrons

The atomic model that describes an atom as a spherical object containing a certain number of electrons trapped in a mass of positive charge is often called ____ model.

Answers

Answer: raisin pudding model or plum pudding model

This atomic model was developed in 1904 by the British scientist J.J. Thomson, from his discovery of the existence of the electron in 1897.

Taking into consideration that at that time there was still no evidence of the atom nucleus, Thomson thought the electrons (with negative charge) were immersed in a substance (the atom) of positive charge that counteracted the negative charge of the electrons. Just like the raisins embedded in a pudding or bread.

That is why this model was called the raisin pudding atomic model

you can feel the heat waves from small electric heater on your hands and face even though the heater is on the other side of the room this is an example of

Answers

radiation
hope this helps

Final answer:

Feeling the heat from a heater at a distance is an example of heat transfer by radiation, where electromagnetic waves emitted by the heater are absorbed by the skin, causing a warming sensation.

Explanation:

Feeling the heat waves from a small electric heater on your hands and face, even though the heater is on the other side of the room, is an example of heat transfer by radiation. This occurs when a hot body like a heater emits electromagnetic waves that travel through the space and are absorbed by your skin, warming you without the need for a medium. This type of heat transfer is the same that occurs when we feel the warmth from the Sun or when an oven warms us as we walk by.

An atom that has a negative four charge will have which of the following?Answer 4 more protons than electrons An equal amount of protons and electrons 4 more electrons than protons 2 more neutrons than protons,

Answers

An atom with a negative four charge will have 4 more electrons than protons.

An atom that has a negative four charge will have 4 more electrons than protons. This is because the charge of an atom is determined by the difference between the number of protons and electrons. A neutral atom has an equal number of protons and electrons, leading to no net charge. If there are more electrons than protons, the excess negative charges from the electrons result in a negative charge for the atom.

In the case of an atom with a negative four charge, also known as an anion, the atomic charge can be calculated as number of protons - number of electrons. Since each electron has a negative charge equal to the positive charge of a proton, the atom in question with a -4 charge must have four more electrons than protons.

What is the average acceleration during the time interval 0 seconds to 10 seconds?

a) 0.5 meters/seconds^2
b) 1 meter/second^2
c) 2meters/second^2
d) 3 meters/second^2,

Answers

your answer is a.0.5 m/s

Please help me answer these questions ASAP !

Answers

1. Layer A is the oldest. The law of superposition says that the oldest layer is at the bottom whilst the newest is at the top.
2. The law of original horizontality.
3. The law of original lateral continuity.

A box of mass 3.0 kg is accelerated from rest across a floor at a rate of 3.0 m/s2 for 4.0 s . what is the net work

Answers

Work done is given by multiplying force and distance.
Therefore; W = Force × distance
  but from the second newton's law of motion F=ma
Therefore; W = (ma) × d
Using; V= U + at
 V = 0 + (3×4)
 V = 12 m/s
 But d = (V+U)/2 (t)
        d = 12/2 (4)
           = 24 M
Hence;  W = ( 3 ×3 )× 24
                  = 216 J

Water vapor is an example of what phase? A. Plasma B. Gas C. Solid D. Liquid

Answers

Hi, water vapor is an example of a Gas. 

Hope this helps!
Hello there!

Answer:  B. Gas

Hoping this helps you!
(if you have any questions please ask me)

Have a great day! :D
-Ari.


What material is rare in the atmosphere of earth, but common in the atmospheres of mars and venus?

Answers

the answer is carbon dioxide

When light is scattered while spreading out through the atmosphere, the light rays

Answers

Final answer:

Light scattering caused by the Earth's atmosphere results in the 'twinkling' of stars, polarization of light, and the blue color of the sky. The scattering leads to a blur and changing nature of the blur due to atmospheric conditions. Scattered blue light colors the sky and makes the Sun appear yellower.

Explanation:

When light rays spread out through the Earth's atmosphere, they undergo a process known as scattering. This can be compared to the way confetti is dispersed by the wind. As light from the stars enters our atmosphere, various air currents and atmospheric conditions alter their paths leading to a blurred image when viewed from Earth; this effect is often observed as the twinkling of stars. Interestingly, polarization by scattering also occurs, and the light from the sky can appear brighter or dimmer when viewed through polarized lenses like sunglasses due to this scattering effect.

The blue color of the sky is also a result of scattering. Molecules in the atmosphere scatter shorter wavelengths of light (blue) more than longer wavelengths (red). This preferential scattering causes the sky to appear blue and the sun to seem somewhat yellower than it would in space. Furthermore, the intensity of light diminishes as it travels farther from its source. The light from the sun travels such long distances that by the time it reaches Earth, its rays are essentially parallel, causing consistent scattering across the globe.

an object which has a mass of 70 kg is sitting on a cliff 10m high calculate the objects potential energy. given g=10m/s^2

A.7,000 Joules
B. 3,500 Joules
C. 700 Joules
D. 70 Joules
E. 35 Joules

Answers

7,000 joules as MGH is the equation so 70kg * 10 m/s^2 *10m

Answer: Potential Energy = 7,000 Joules(A)

Explanation:

Potential Energy is the energy possessed by the virtue of its position and it is given as,

P. E = mgh

Where m is the mass= 70kg

g is acceleration due to gravity =10m/s²

h= height = 10m

P. E = 70×10×10

P. E= 7000J

Therefore the potential energy is 7000J

The force in Newtons on a particle directed along the x-axis is given by F(x)=exp(−(x/2)+6) for x≥0 where x is in meters. The particle is constrained to move along the x-axis. Find the work done in Joules on the particle, W, in moving it from x=0 to x=1 using the fact that F=dW/dx. For your reference, 1 Joule = 1 Newton × 1 meter.,

Answers

Final answer:

The work done on the particle as it moves from x = 0 to x = 1 meter under the force F(x) = exp(-x/2 + 6) is obtained by integrating the force function over the distance, resulting in a measurable amount of work in Joules.

Explanation:

The work done W on a particle as it moves from initial position xi to final position xf under a force F(x) is calculated by integrating the force over the distance. Considering the given force function F(x) = exp(-x/2 + 6), the work done from x = 0 to x = 1 meter is:


W = ∫ F(x) dx


= ∫ exp(-x/2 + 6) dx from x = 0 to x = 1


= ∫ e(-x/2 + 6) dx from x = 0 to x = 1


= -2e(-x/2 + 6) | from x = 0 to x = 1


= -2(e(-1/2 + 6) - e6)


= -2(e(11/2) - e6) Joules

By calculating the definite integral, we can find the total amount of work done in Joules on the particle during this displacement.

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An Olympic sprinter can go from a state of rest to 11 meters per second in 10 seconds. What is the average acceleration of the sprinter?
A. 0.9 m/s
B. 110 m/s²
C. 110 m/s
D. 1.1 m/s²

@Vonte12,

Answers

the answer is D since to calculate acceleration is used the formula a = delta v over delta t where delta v is the final velocity 11m/s less initial velocity 0m/s so delta v is 11m/s and delta t is final velocity 10s less initial velocity that always will be 0 then 10 - 0 = 10 so a = 11 over 10 that is 1.1m/s^2 (remember that is squared)

Suppose you are holding a flat mirror and standing at the center of a giant clock face built into the floor. someone standing at 12 o'clock shines a beam of light toward you, and you want to use the mirror to reflect the beam toward an observer standing at 5 o'clock. what should the angle of incidence be to achieve this? what should the angle of reflection be?

Answers

The situation is shown in the figure attached.
The original beam of light comes from 12 o'clock, and it is reflected to 5 o'clock.
Since there are 12 hours on the clock, each hour covers an angle of
[tex]360^{\circ}/12=30^{\circ}[/tex].
This means that between 12 o'clock and 5 o'clock there is an angle of
[tex]30^{\circ}\cdot 5 = 150 ^{\circ}[/tex].
This corresponds to the total angle between the incident beam and the reflected beam. But for the law of reflection, we have that the incident angle should be equal to the angle of reflection, so this is only possible if both angles are half of [tex]150^{\circ}[/tex], so we have:
- angle of incidence: [tex]150^{\circ}/2 = 75^{\circ}[/tex]
- angle of reflection: [tex]150^{\circ}/2 = 75^{\circ}[/tex]

Which has greater force fly hitting windshield of rapidly moving car or the force of windshield hitting fly? Explain

Answers

the force applied on the fly and the windshield are equal based on Newton's Law of Action and Reaction. the difference between them is that the fly's body does not have enough mechanical strength to withstand the force but the windshield does.

When a fly collides with a moving car's windshield, the force exerted by both on each other is equal in magnitude due to Newton's Third Law of Motion. The differing outcomes (the fly typically being destroyed while the car remains largely unaffected) are a result of the vastly different masses and resulting accelerations, not a difference in the magnitude of force.

When a fly hits the windshield of a rapidly moving car, an interesting physics principle comes into play, known as Newton's Third Law of Motion. This law states that for every action, there is an equal and opposite reaction. Therefore, the force that the fly exerts on the windshield is equal in magnitude to the force that the windshield exerts on the fly during the collision. However, the outcomes are vastly different for the fly and the car due to their significant difference in mass. The car has a much larger mass and therefore experiences a negligible acceleration from the force, while the light-mass fly undergoes a large acceleration, often resulting in its death.

The Third Law of Motion can be counterintuitive because we observe the effects of the forces differently due to the difference in mass and resulting acceleration. But it’s crucial to understand that in terms of the forces experienced by both objects, they are identical. This is why the correct answer is that neither the car nor the fly experiences a greater force than the other in magnitude during the collision.

It is weigh-in time for the local under 85 kg rugby team. The bathroom scale used to assess eligibilty can be described by Hooke's law, which is depressed 0.65 cm for its maximum load of 115 kg. What is the spring's effective spring constant?

A player stands on the scale, and it depresses by 0.39cm. What is the mass of the player?,

Answers

k = 1.7 x 10^5 kg/s^2 Player mass = 69 kg Hooke's law states F = kX where F = Force k = spring constant X = deflection So let's solve for k, the substitute the known values and calculate. Don't forget the local gravitational acceleration. F = kX F/X = k 115 kg* 9.8 m/s^2 / 0.65 cm = 115 kg* 9.8 m/s^2 / 0.0065 m = 1127 kg*m/s^2 / 0.0065 m = 173384.6154 kg/s^2 Rounding to 2 significant figures gives 1.7 x 10^5 kg/s^2 Since Hooke's law is a linear relationship, we could either use the calculated value of the spring constant along with the local gravitational acceleration, or we can simply take advantage of the ratio. The ratio will be both easier and more accurate. So X/0.39 cm = 115 kg/0.65 cm X = 44.85 kg/0.65 X = 69 kg The player masses 69 kg.

The effective spring constant of the bathroom scale is approximately 174,738 N/m.

The mass of the player is approximately 69.51 kg.

To determine the spring constant of the bathroom scale, you can use Hooke's law, which relates the force applied to a spring (F) to its displacement (x) and the spring constant (k):

F = -k * x

In this case, we know that the scale depresses 0.65 cm (which is equivalent to 0.0065 meters) under a load of 115 kg. We can use this information to find the spring constant (k):

115 kg * 9.81 m/s² = k * 0.0065 m

Now, solve for k:

k = (115 kg * 9.81 m/s²) / 0.0065 m

k ≈ 174,738 N/m

Hence, the effective spring constant of the bathroom scale is approximately 174,738 N/m.

Now, to find the mass of the player who depresses the scale by 0.39 cm (which is equivalent to 0.0039 meters), you can use Hooke's law again:

F = -k * x

Where:

F is the force exerted by the player's weight (in Newtons)

k is the spring constant (we just found it to be 174,738 N/m)

x is the displacement of the spring (0.0039 meters)

Now, solve for F:

F = -174,738 N/m * 0.0039 m

F ≈ -681.882 N

Since weight is the force due to gravity (F = m * g), where "m" is the mass of the player and "g" is the acceleration due to gravity (approximately 9.81 m/s²), we can find the mass of the player:

m = F / g

m = (-681.882 N) / (9.81 m/s²)

m ≈ -69.51 kg

The negative sign indicates that the player's weight is acting in the opposite direction of the scale's displacement.

Hence, the mass of the player is approximately 69.51 kg.

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Describe the steps in which a power plant transforms the energy in fossil fuels to electrical energy.

Answers

In general, this process looks like this:
1) Fossil fuels are burnt in order to get heat from them
2) This heat is being used evaporate water
3) This hot water vapor is used to  power the turbine 
4) Turbine transforms mechanical energy into electrical energy
The best thermal efficiency achieved, so far, using this process is just under 60%.

Power plants burn fossil fuels to produce steam, which spins a turbine connected to a generator, converting thermal energy into electrical energy. The electricity is then transmitted and distributed to homes and businesses.

Power plants convert fossil fuels into electrical energy through the following steps:

1. Fuel Combustion: Fossil fuels (coal, natural gas, or oil) are burned in a boiler to produce heat, releasing chemical energy.

2. Heat Production: The heat converts water into high-pressure steam.

3. Steam Generation: The steam heats up and pressurizes.

4. Mechanical Energy: High-pressure steam spins a turbine, converting thermal energy into mechanical energy.

5. Electrical Generation: The turbine drives a generator, converting mechanical energy into electrical energy.

6. Transmission: Electricity is transmitted through power lines at high voltage.

7. Distribution: Substations reduce voltage for safe distribution to homes and businesses.

8. Waste Management: Steam is condensed back to water and reused, and emissions are controlled to minimize environmental impact.

This cycle efficiently converts fossil fuel energy into electrical power.

A 65 Kg roller-blade is accelerating at 5 m/s/s across the side walk. What force would be necessary for this acceleration to occur?

Answers

Newton's second law states that the force applied to an object is equal to the product between the mass m of the object and its acceleration a:
[tex]F=ma[/tex]
Using [tex]m=65 kg[/tex] and [tex]a=5 m/s^2[/tex], we can find the value of the force applied to the roller-blade to obtain this acceleration:
[tex]F=(65 kg)(5 m/s^2)=325 N[/tex]

You drive in a straight line at 24.0 m/s for 8.0 miles, then at 30.0 m/s for another 8.0 miles. What is the average velocity?

Answers

8 miles = 12874.8m 
Total distance = 16 miles = 25749.5m 
 time = distance/velocity
 First instance, t =12874.8/24
  = 536.45 
 Second instance, t = 12874.8/30
  = 429.16 
 Total time = 536.45 + 429.16 = 965.61 
 Average velocity = Total distance / Total time
  = 25749.5/965.61
  = 26.67 m/s

Which two energy sources can help a star maintain its internal thermal pressure? which two energy sources can help a star maintain its internal thermal pressure? nuclear fission and gravitational contraction nuclear fusion and chemical reactions chemical reactions and gravitational contraction nuclear fusion and gravitational contraction nuclear fusion and nuclear fission?

Answers

nuclear fusion and gravitational contraction

constituent of star is hydrogen(including isotope) or helium. nuclear fission is almost impossible. D(deuterium; isotope of hydrogen) and T(tritium; also isotope of hydrogen) reacts and helium is formed. During this reaction, severe energy is generated. Heavier elements are formed and pulls each other. Gathered elements forms core of star. Gravity of the core prevents the gas to run away.

Answer:

nuclear fission and gravitational contraction

Explanation:

Which two energy sources can help a star maintain its internal thermal pressure? which two energy sources can help a star maintain its internal thermal pressure? nuclear fission and gravitational contraction nuclear fusion and chemical reactions chemical reactions and gravitational contraction nuclear fusion and gravitational contraction nuclear fusion and nuclear fission?

What is Nuclear fission is when a heavy nucleus split to release energy . it splits into two lesser nuclei.

Gravitational contraction:

is when there is collapse of an object in space due to the influence of its own gravity. This two phenomenon makes it possible for a satr to maintain its thermal (heat )pressure.

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why do you think harper lee gives such a detailed and ugly description of Mrs.DuBose? What should you say when you refuse drugs?You should clearly state your personal reasons.You should never give reasons.You should give reasons only if asked.You should give reasons your peers want to hear. 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For my belief is that if we live another century or soI am talking of the common life which is the real life and not of the little separate lives which we live as individualsand have five hundred a year each of us and rooms of our own; if we have the habit of freedom and the courage to write exactly what we think; if we escape a little from the common sitting-room and see human beings not always in their relation to each other but in relation to reality; and the sky, too, and the trees or whatever it may be in themselves; if we look past Miltons bogey, for no human being should shut out the view; if we face the fact, for it is a fact, that there is no arm to cling to, but that we go alone and that our relation is to the world of reality and not only to the world of men and women, then the opportunity will come and the dead poet who was Shakespeares sister will put on the body which she has so often laid down. Drawing her life from the lives of the unknown who were her forerunners, as her brother did before her, she will be born. As for her coming without that preparation, without that effort on our part, without that determination that when she is born again she shall find it possible to live and write her poetry, that we cannot expect, for that would be impossible. But I maintain that she would come if we worked for her, and that so to work, even in poverty and obscurity, is worth while. What aspect of the Modern Era does the passage reflect? conformity, decorum, and etiquette social inequality and change the rejection of traditional values the damage of World War I Help please!!! thanks Using the example of a cell in a sugar solution, explain what is meant by an isotonic solution. Little Joey jumps into a pool on a cool fall morning. How can we describe the direction of energy transfer and temperature change between Joey and the water?A)Energy is transferred from Joey to the water. The temperature of the water increases.B)Energy is transferred from the water to Joey. The temperature of the water increases.C)Energy is transferred from the water to Joey. The temperature of the water decreases.D)Energy is transferred from the Joey to the water. The temperature of the water decreases. 99 POINTS PLEASE HELP ME WITH THESE 5What is the purpose of Articles XII-XIV of the Louisiana Constitution?to declare the rights of citizensto structure the state governmentto explain the functions of governmentto provide general provisions and amendmentsWhat keeps one branch of the federal government from becoming too powerful?the system of checks and balancesthe Bill of Rights in the Constitutionthe system of due process of lawthe preamble of the ConstitutionWhat is one example of balancing the branches of government?The legislative branch can impeach executive officials.The executive branch is headed by a governor on the state level.The executive branch is headed by the president on the national level.The judicial branch includes judges who are either elected or appointed.What is the main function of the legislative branch of state and federal government?to create new lawsto interpret the lawsto enforce the lawsto obey all of the lawsWhat is the purpose of Article VI of the Louisiana constitution?to declare the rights of citizensto structure the state governmentto structure the local governmentto provide general provisions and amendments A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function =S+18.950.40M , where M is the number of miles driven. The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function =I+5.700.25M . Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M . Simplify your answer as much as possible. Find the measure of the angle of elevation of the sun when a pole 25 feet tall casts a shadow 42 feet long. What is the length of AA' ? The length of the base of an isosceles triangle is one forth the length of one of its legs. 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